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Finding the Fourth Proportional to 11,234.32, 15,501.41 and 7,204.67

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Solution

The fourth proportional to 11,234.32, 15,501.41 and 7,204.67 is: 9,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.32 : 15,501.41 = 7,204.67 : x
  2. Step 2: Convert to fraction form
    11,234.32/15,501.41 = 7,204.67/x
  3. Step 3: Cross multiply
    11,234.32x = 15,501.41 × 7,204.67
  4. Step 4: Simplify right side
    11,234.32x = 111,682,507.56
  5. Step 5: Solve for x
    x = 111,682,507.56/11,234.32
  6. Step 6: Final answer
    x = 9,941.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.